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Finding the Third Proportional to 536,421 and 1,150,725

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Solution

The third proportional to 536,421 and 1,150,725 is: 2,468,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,421 : 1,150,725 = 1,150,725 : x
  2. Step 2: Convert to fraction form
    536,421/1,150,725 = 1,150,725/x
  3. Step 3: Cross multiply
    536,421x = 1,150,725 × 1,150,725
  4. Step 4: Simplify right side
    536,421x = 1,324,168,025,625
  5. Step 5: Solve for x
    x = 1,324,168,025,625/536,421
  6. Step 6: Final answer
    x = 2,468,523.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.